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Finding the Fourth Proportional to 559,645.88, 772,316.78 and 305,002.53

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Solution

The fourth proportional to 559,645.88, 772,316.78 and 305,002.53 is: 420,906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,645.88 : 772,316.78 = 305,002.53 : x
  2. Step 2: Convert to fraction form
    559,645.88/772,316.78 = 305,002.53/x
  3. Step 3: Cross multiply
    559,645.88x = 772,316.78 × 305,002.53
  4. Step 4: Simplify right side
    559,645.88x = 235,558,570,336.44
  5. Step 5: Solve for x
    x = 235,558,570,336.44/559,645.88
  6. Step 6: Final answer
    x = 420,906.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.